100pts: abdullah averages 30 mph driving from houston to austin. what was his average speed on the return trip if the average speed for the whole trip was 40 mph? in your work, show that the answer will be the same regardless of the distance between the two cities.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?